Bring a pot of salted water to a boil and cook the chickpea pasta until al dente, reserving 2 tablespoons of pasta water before draining.
Season the chicken breast evenly with sea salt, black pepper, and dried oregano.
Heat the extra virgin olive oil in a large skillet over medium heat and sear the chicken for 5-6 minutes per side until golden and cooked through.
Remove the chicken from the skillet, let it rest for 2 minutes, then slice it into thin strips.
In the same skillet, add the minced garlic and sauté for 30 seconds until fragrant.
Whisk together the Greek yogurt, lemon juice, lemon zest, and reserved pasta water in a small bowl until the mixture is smooth.
Add the cooked pasta, sliced chicken, and baby spinach to the skillet, then pour the yogurt mixture over the top.
Toss everything together over low heat for 1 minute until the spinach is wilted and the sauce coats the pasta.
Garnish with fresh parsley and serve immediately.